Question

The Great Pyramid of Giza has a length and width of 230.4 meters, and it has a height of 138.8 meters. A full-scale model of the pyramid will be built, and materials for the model will be delivered in trucks that measure 13 meters by 8 meters by 40 meters.

How many truckloads will be needed to deliver all of the materials for the model?

At least ___________ truckloads will be needed to deliver all of the materials.

Answer 1

The answer to your question is: 1772 truckloads

Explanation:

Data

Great pyramid of Giza dimensions: 230.4 x 230.4 x 138.8 meters

Scale pyramid = 13 x 8 x 40 meters

Truckloads = =

Formula

Volume of a pyramid = length x width x height / 3

Process

Volume of Giza pyramid = 230.4 x 230.4 x 138.8 / 3 = 2456027.14 m³

Volume of scale pyramid = 13 x 8 x 40 / 3 = 1386.67 m³

# of trucks = 2456027.14 m³ / 1386.67 m³

# of trucks = 1771. 17 ≈ 1772